I don't even know if he himself knows what it's about or if he just figured "ok this is so weird everyone will think it has a deeper meaning and will argue about it"
@BalarkaSen last time maybe like year ago i was on this chat, you were also there, and saw you worked on munkres topology, you progressed a lot, which text are you working on now?
@OFFSHARING hope you're doing good, 2016 seems like an exciting year for you, when will your book be released? and what about the journal you talked about? have fun, good luck :)))))
@user153330 I sketch the ideas of the journal, but these days I worked more on some absolutely amazing results in the area of seres involving Fibonacci numbers.
I sent problems to more journals, although they are in vacation.
@user153330 Most of the time, yes, full success. My first proposed problem ever was rejected, but I'm sure after my book is published they will ponder again over it and publish it. I don't insist on that problem but it was a cool problem, and to them seemed too hard.
I really want to learn some of that stuff. I wish community colleges offered those classes including functional analysis so that I could just take them lol
Yeah, I tried finding some on meetup but nothing . . .
I looked on udacity, coursera, and edx nothing. .
there was something on functional analysis but it is now closed :(
All the other stuff on youtube is for the professional crowd or really advanced graduate students
I just know some basic calculus, ode, linear algebra, and even struggle with those, but in trying to really understand some cool stuff in physics and how to do things may be analysis would help
We all know the Algebra I exercise that if you row a LINEAR round-trip in a river with a current, you make it faster than with no current (down and back a certain fixed distance). Now show that the same is true for any closed path.
@Semiclassical Hm, OK. Calculate the curve drawn by a dog pushing trough a straight line (the $y$-axis, say) and a master following starting at $(1,0)$ and $(0,1)$ respectively, the lash being constantly straight and of constant length.
@TedShifrin awesome! My family will be excited to meet you. on a math note, why are Hilbert spaces useful for quantum mechanics? What makes a Hilbert space interesting as a mathematical object?
the problem with asking a physicist, actually, is that while we can talk in terms of hilbert spaces and the like, that's not the motivation for what we do
i mean, a major part of it is that you want to allow a system to exist in a superposition of states, and that amounts to having linear combinations of vectors
@MikeMiller "Study of particles based on the assumption that the uncertainty principle, which says that standard deviation of momentum times standard deviation of position is always greater than a constant, holds".
but if the velocity at some point is given by $\vec{v}=(v\cos\theta,v\sin\theta)$ in the reference frame at rest, then in the river frame it'd be $(v\cos\theta,u+v\sin\theta)$ in the river frame (assuming the river is running in the y-direction)
